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The unique polynomial P(x) of degree 2 such that: P(1) = 1, P(3) = 27, P(4) = 64 is
$$8x^2 - 19x + 12$$
$$8x^2 + 19x + 12$$
$$-8x^2 - 19x + 12$$
$$-8x^2 - 19x - 12$$
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